1201531120 has 40 divisors (see below), whose sum is σ = 2940593040. Its totient is φ = 455316480.

The previous prime is 1201531073. The next prime is 1201531159. The reversal of 1201531120 is 211351021.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1201531094 and 1201531103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393721 + ... + 396760.

It is an arithmetic number, because the mean of its divisors is an integer number (73514826).

Almost surely, 2^1201531120 is an apocalyptic number.

1201531120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201531120 is an abundant number, since it is smaller than the sum of its proper divisors (1739061920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201531120 is a wasteful number, since it uses less digits than its factorization.

1201531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790513 (or 790507 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1201531120 is about 34663.1089200031. The cubic root of 1201531120 is about 1063.1103375917.

Adding to 1201531120 its reverse (211351021), we get a palindrome (1412882141).

The spelling of 1201531120 in words is "one billion, two hundred one million, five hundred thirty-one thousand, one hundred twenty".